10 citations · 18 across the 6 of their papers we have counts for
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math.NA2016★ 2 cited
An optimal approximation formula for functions with singularities
Ken'ichiro Tanaka, Tomoaki Okayama, Masaaki Sugihara
We propose an optimal approximation formula for analytic functions that are defined on a complex region containing the real interval and possibly have algebraic singularit…
math.NA2016★ 1 cited
Structure of the preconditioned system in various preconditioned conjugate gradient squared algorithms
Shoji Itoh, Masaaki Sugihara
An improved preconditioned conjugate gradient squared (PCGS) algorithm has recently been proposed, and it performs much better than the conventional PCGS algorithm. In this paper,…
math.NA2016★ 2 cited
Structure of the polynomials in preconditioned BiCG algorithms and the switching direction of preconditioned systems
Shoji Itoh, Masaaki Sugihara
We present a theorem that defines the direction of a preconditioned system for the bi-conjugate gradient (BiCG) method, and we extend it to preconditioned bi-Lanczos-type algorithm…